摘要
本文研究离散时间不确定脉冲系统的有限时间稳定性和滤波问题.利用线性矩阵不等式和松弛变量方法,不仅给出了滤波误差系统有限时间稳定和满足性能要求的充分条件,另外也给出了滤波器存在的充分条件和设计方法.最后通过数值模拟表明了结论的可行性和有效性.
The finite-time stability and filtering problems for discrete-time uncertain impulsive system are investigated in this paper. Based on the linear matrix inequality and slack variable, Some sufficient conditions for the finite-time stability of the filter error system with some certain performance are derived. In addition, the existence conditions and design method of the filter are also given. Finally,numerical simulation is given to demonstrate the feasibility and effectiveness of the conclusion.
作者
仝云旭
李桂花
刘婷婷
陈绍东
TONG Yunxu;LI Guihua;LIU Tingting;CHEN Shaodong(College of Mathematics and Statistics, Nanyang Institute of Technology, Nanyang 4 73004, China;School of Science, Xi＇an Polytechnic University, Xi＇an 710048, China)
出处
《应用数学》
CSCD
北大核心
2018年第2期429-435,共7页
Mathematica Applicata
基金
国家自然科学基金(61403242)
河南省科技厅基础与前沿计划项目基金(162300410076)
河南省教育厅高等学校重点科研项目(16A110020)
陕西省教育厅基金项目(17JK0340)
关键词
有限时间滤波
有限时间稳定
不确定
脉冲系统
离散时间
Finite-time filtering
Finite-time stability
Uncertain
Impulsive system
Discrete-time
